How does kinetic energy of gases relate to their volume?

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Discussion Overview

The discussion revolves around the relationship between the kinetic energy of gases and their volume, particularly in the context of comparing the molar volumes of C2H6 and H2 at specific conditions (300 K and 10 atm). Participants explore how kinetic energy relates to gas behavior and intermolecular forces.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that the correct answer to the question about molar volume differences is that the intermolecular attractions in C2H6 are stronger than in H2, while also considering that the average kinetic energy of H2 might be greater.
  • Another participant notes that average kinetic energy is proportional to temperature, implying that since temperature is the same for both gases, their average kinetic energies should also be comparable.
  • A later reply emphasizes the importance of understanding the relationship between kinetic energy and temperature in the context of gas behavior.
  • There is a suggestion that memorization of concepts may be less effective than understanding the underlying physics, which could lead to confusion in answering such questions.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between kinetic energy and volume, particularly regarding the implications of intermolecular forces and kinetic energy in gases. There is no clear consensus on which explanation is more valid.

Contextual Notes

The discussion highlights the complexity of gas behavior and the interplay between kinetic energy, temperature, and intermolecular forces, with participants acknowledging the need for deeper understanding rather than rote memorization.

Esoremada
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Which of the following statements accounts for the observation that, at 300 K and 10 atm, the molar volume of C2H6(g) is less than that of H2(g)?

A C2H6 molecules are smaller than H2 molecules.
B The average kinetic energy of H2 molecules is greater than that of C2H6 molecules.
C The average kinetic energy of H2 molecules is less than that of C2H6 molecules.
D The intermolecular attractions in C2H6(g) are weaker than they are in H2(g).
*E The intermolecular attractions in C2H6(g) are stronger than they are in H2(g).
E is the correct answer, but it also seems like B is a reasonable answer, doesn't higher kinetic energy make a substance's volume increase? Isn't that why heating things causes them to expand?
 
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Average KE is proportional to temperature right?
T is the same for each sample, therefore...
 
Last edited:
Oh, right. Thanks, idk how I missed that.
 
Lots of people would - that's why the question is asked that way.
The idea is to reward you for reading with brain engaged (almost nobody does that anyway) and for understanding physics.

The "understanding physics" part gives you two possible answers - B and E (which is how you can tell you are doing well BTW) and you have to do a bit more work to figure out what makes one better than the other. I suspect the actual test is whether you realize the relationship between KE and T.

You can do it the other way around, by memorizing stuff, though... but it's harder.
 

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